Problema Solution

Christopher is three times as old as omar. Ten years ago, christopher was eight times as old as omar. How old is omar now?

Answer provided by our tutors

Let


c = the age of Christopher now


o = the age of Omar now


Christopher is 3 times as old as Omar:


c = 3o


10 years ago, Christopher was 8 times as old as Omar:


c - 10 = 8(o - 10)


by solving the system of equations:


c = 3o


c - 10 = 8(o - 10)


we find:


c = 42 years


o = 14 years


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Christopher is 42 years old now.


Omar is 14 years old now.